Keith, William J. Families of major index distributions: closed forms and unimodality. (English) Zbl 1420.05181 Electron. J. Comb. 26, No. 3, Research Paper P3.58, 23 p. (2019). MSC: 05E10 05A17 11P83 PDF BibTeX XML Cite \textit{W. J. Keith}, Electron. J. Comb. 26, No. 3, Research Paper P3.58, 23 p. (2019; Zbl 1420.05181) Full Text: Link arXiv
Kirillov, Anatol N. Rigged configurations and Catalan, stretched parabolic Kostka numbers and polynomials: polynomiality, unimodality and log-concavity. (English) Zbl 1409.05210 Konno, Hitoshi (ed.) et al., Representation theory, special functions and Painvlevé equations – RIMS 2015. Proceedings of the international conference on the occasion of Masatoshi Noumi’s 60th birthday, RIMS, Kyoto, Japan, March 3–6, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 76, 303-346 (2018). MSC: 05E05 05E10 05A19 PDF BibTeX XML Cite \textit{A. N. Kirillov}, Adv. Stud. Pure Math. 76, 303--346 (2018; Zbl 1409.05210) Full Text: DOI Euclid
Okado, Masato; Schilling, Anne; Scrimshaw, Travis Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types. (English) Zbl 1437.17008 J. Algebra 516, 1-37 (2018). MSC: 17B37 05A19 81R50 82B23 PDF BibTeX XML Cite \textit{M. Okado} et al., J. Algebra 516, 1--37 (2018; Zbl 1437.17008) Full Text: DOI
Liu, Shiyuan Fermionic formula for double Kostka polynomials. (English) Zbl 1429.17016 J. Math. Soc. Japan 70, No. 1, 283-324 (2018). MSC: 17B37 05E10 82B23 81R50 05A30 PDF BibTeX XML Cite \textit{S. Liu}, J. Math. Soc. Japan 70, No. 1, 283--324 (2018; Zbl 1429.17016) Full Text: DOI arXiv
Okado, Masato; Sakamoto, Reiho; Schilling, Anne; Scrimshaw, Travis Type \(D_n^{(1)}\) rigged configuration bijection. (English) Zbl 1371.05316 J. Algebr. Comb. 46, No. 2, 341-401 (2017). MSC: 05E10 05A19 PDF BibTeX XML Cite \textit{M. Okado} et al., J. Algebr. Comb. 46, No. 2, 341--401 (2017; Zbl 1371.05316) Full Text: DOI
Kirillov, Anatol N.; Sakamoto, Reiho Some remarks on Nepomechie-Wang eigenstates for spin 1/2 XXX model. (English) Zbl 1336.81040 Mosc. Math. J. 15, No. 2, 337-352 (2015). MSC: 81R12 16T25 17B80 47A70 82B20 82B23 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{R. Sakamoto}, Mosc. Math. J. 15, No. 2, 337--352 (2015; Zbl 1336.81040) Full Text: Link arXiv
Sakamoto, Reiho Rigged configurations approach for the spin-1/2 isotropic Heisenberg model. (English) Zbl 1316.81079 J. Phys. A, Math. Theor. 48, No. 16, Article ID 165201, 25 p. (2015). Reviewer: Guy Jumarie (Montréal) MSC: 81T30 82B23 82B20 PDF BibTeX XML Cite \textit{R. Sakamoto}, J. Phys. A, Math. Theor. 48, No. 16, Article ID 165201, 25 p. (2015; Zbl 1316.81079) Full Text: DOI arXiv
Schilling, Anne; Scrimshaw, Travis Crystal structure on rigged configurations and the filling map. (English) Zbl 1310.05021 Electron. J. Comb. 22, No. 1, Research Paper P1.73, 56 p. (2015). MSC: 05E10 17B37 05A19 PDF BibTeX XML Cite \textit{A. Schilling} and \textit{T. Scrimshaw}, Electron. J. Comb. 22, No. 1, Research Paper P1.73, 56 p. (2015; Zbl 1310.05021) Full Text: Link arXiv
Kirillov, Anatol N.; Sakamoto, Reiho Singular solutions to the Bethe ansatz equations and rigged configurations. (English) Zbl 1302.82034 J. Phys. A, Math. Theor. 47, No. 20, Article ID 205207, 20 p. (2014). Reviewer: Nenad Manojlović (Faro) MSC: 82B23 82B20 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{R. Sakamoto}, J. Phys. A, Math. Theor. 47, No. 20, Article ID 205207, 20 p. (2014; Zbl 1302.82034) Full Text: DOI arXiv
Sakamoto, Reiho Rigged configurations and Kashiwara operators. (English) Zbl 1376.17024 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 028, 88 p. (2014). MSC: 17B37 05E10 82B23 PDF BibTeX XML Cite \textit{R. Sakamoto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 028, 88 p. (2014; Zbl 1376.17024) Full Text: DOI EMIS arXiv
Okado, Masato; Sano, Nobumasa KKR type bijection for the exceptional affine algebra \(E_6^{(1)}\). (English) Zbl 1352.17020 Ariki, Susumu (ed.) et al., Algebraic groups and quantum groups. International conference on representation theory of algebraic groups and quantum groups ’10, Graduate School of Mathematics, Nagoya University, Nagoya, Japan, August 2–6, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5317-7/pbk; 978-0-8218-8536-9/ebook). Contemporary Mathematics 565, 227-242 (2012). MSC: 17B37 17B25 PDF BibTeX XML Cite \textit{M. Okado} and \textit{N. Sano}, Contemp. Math. 565, 227--242 (2012; Zbl 1352.17020) Full Text: arXiv
Okado, Masato; Sakamoto, Reiho Stable rigged configurations and Littlewood-Richardson tableaux. (English. French summary) Zbl 1355.05274 Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13–17, 2011. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 729-740 (2011). MSC: 05E10 PDF BibTeX XML Cite \textit{M. Okado} and \textit{R. Sakamoto}, in: Proceedings of the 23rd international conference on formal power series and algebraic combinatorics, FPSAC 2011, Reykjavik, Iceland, June 13--17, 2011. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 729--740 (2011; Zbl 1355.05274) Full Text: Link
Wang, Qiang A promotion operator on rigged configurations. (English) Zbl 1392.05120 Krattenthaler, Christian (ed.) et al., Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20–24, 2009. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 881-892 (2009). MSC: 05E15 PDF BibTeX XML Cite \textit{Q. Wang}, in: Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20--24, 2009. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 881--892 (2009; Zbl 1392.05120) Full Text: Link
Schilling, Anne \(X=M\) theorem: fermionic formulas and rigged configurations under review. (English) Zbl 1221.17018 Kuniba, Atsuo (ed.) et al., Combinatorical aspect of integrable systems. Based on the workshop, RIMS, Kyoto, Japan, July 26–30, 2004. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-37-2/pbk). MSJ Memoirs 17, 75-104 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 05E15 82B23 PDF BibTeX XML Cite \textit{A. Schilling}, MSJ Mem. 17, 75--104 (2007; Zbl 1221.17018) Full Text: arXiv
Deka, Lipika; Schilling, Anne New fermionic formula for unrestricted Kostka polynomials. (English) Zbl 1153.17006 J. Comb. Theory, Ser. A 113, No. 7, 1435-1461 (2006). MSC: 17B37 05E05 81R10 PDF BibTeX XML Cite \textit{L. Deka} and \textit{A. Schilling}, J. Comb. Theory, Ser. A 113, No. 7, 1435--1461 (2006; Zbl 1153.17006) Full Text: DOI arXiv
Okado, Masato; Schilling, Anne; Shimozono, Mark A crystal to rigged configuration bijection for nonexceptional affine algebras. (English) Zbl 1090.17006 Jing, Naihuan (ed.), Algebraic combinatorics and quantum groups. River Edge, NJ: World Scientific (ISBN 981-238-446-4/hbk). 85-124 (2003). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 17B67 05A19 05E15 05A30 PDF BibTeX XML Cite \textit{M. Okado} et al., in: Algebraic combinatorics and quantum groups. River Edge, NJ: World Scientific. 85--124 (2003; Zbl 1090.17006) Full Text: arXiv
Kirillov, Anatol N.; Schilling, Anne; Shimozono, Mark A bijection between Littlewood-Richardson tableaux and rigged configurations. (English) Zbl 0986.05013 Sel. Math., New Ser. 8, No. 1, 67-135 (2002). MSC: 05E10 05A19 05A15 PDF BibTeX XML Cite \textit{A. N. Kirillov} et al., Sel. Math., New Ser. 8, No. 1, 67--135 (2002; Zbl 0986.05013) Full Text: DOI arXiv
Kirillov, Anatol N.; Shimozono, Mark A generalization of the Kostka-Foulkes polynomials. (English) Zbl 0995.05146 J. Algebr. Comb. 15, No. 1, 27-69 (2002). Reviewer: Vesselin Drensky (Sofia) MSC: 05E10 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{M. Shimozono}, J. Algebr. Comb. 15, No. 1, 27--69 (2002; Zbl 0995.05146) Full Text: DOI arXiv
Schilling, Anne; Shimozono, Mark Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions. (English) Zbl 0992.05073 Commun. Math. Phys. 220, No. 1, 105-164 (2001). MSC: 05E10 33D67 17B37 81R50 PDF BibTeX XML Cite \textit{A. Schilling} and \textit{M. Shimozono}, Commun. Math. Phys. 220, No. 1, 105--164 (2001; Zbl 0992.05073) Full Text: DOI arXiv
Schilling, Anne; Shimozono, Mark New expressions for level-restricted Kostka polynomials. (English) Zbl 0958.05136 Krob, Daniel (ed.) et al., Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC’00, Moscow, Russia, June 26-30, 2000. Berlin: Springer. 367-378 (2000). Reviewer: Bal Kishan Dass (Delhi) MSC: 05E10 05A19 PDF BibTeX XML Cite \textit{A. Schilling} and \textit{M. Shimozono}, in: Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC'00, Moscow, Russia, June 26--30, 2000. Berlin: Springer. 367--378 (2000; Zbl 0958.05136)
Kirillov, Anatol N.; Schilling, Anne; Shimozono, Mark Various representations of the generalized Kostka polynomials. (English) Zbl 0921.05067 Sémin. Lothar. Comb. 42, B42j, 19 p. (1999). MSC: 05E10 05A19 05A15 33C80 81R50 82B23 PDF BibTeX XML Cite \textit{A. N. Kirillov} et al., Sémin. Lothar. Comb. 42, B42j, 19 p. (1999; Zbl 0921.05067) Full Text: EMIS EuDML
Fishel, Susanna Statistics for special \(q,t\)-Kostka polynomials. (English) Zbl 0886.05112 Proc. Am. Math. Soc. 123, No. 10, 2961-2969 (1995). MSC: 05E05 PDF BibTeX XML Cite \textit{S. Fishel}, Proc. Am. Math. Soc. 123, No. 10, 2961--2969 (1995; Zbl 0886.05112) Full Text: DOI
Han, Guo-Niu A geometric version of the Kerov-Kirillov-Reshetikhin construction. (Une version géométrique de la construction de Kerov-Kirilov-Reshetikhin.) (French) Zbl 0888.05055 Sémin. Lothar. Comb. 31, B31a, 15 p. (1993). MSC: 05E10 20C30 PDF BibTeX XML Cite \textit{G.-N. Han}, Sémin. Lothar. Comb. 31, B31a, 15 p. (1993; Zbl 0888.05055) Full Text: EMIS EuDML
Kirillov, A. N.; Reshetikhin, N. Yu. Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. (English. Russian original) Zbl 0675.17013 Funct. Anal. Appl. 22, No. 4, 328-330 (1988); translation from Funkts. Anal. Prilozh. 22, No. 4, 84-85 (1988). MSC: 17B70 17B10 05A19 17A70 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, Funct. Anal. Appl. 22, No. 4, 328--330 (1988; Zbl 0675.17013); translation from Funkts. Anal. Prilozh. 22, No. 4, 84--85 (1988) Full Text: DOI
Kirillov, A. N.; Reshetikhin, N. Yu. Multiplicity of weights in irreducible tensor representations of a general linear superalgebra. (Russian) Zbl 0662.17011 Funkts. Anal. Prilozh. 22, No. 4, 84-85 (1988). Reviewer: Vladimir Pestov MSC: 17B10 17A70 17B70 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, Funkts. Anal. Prilozh. 22, No. 4, 84--85 (1988; Zbl 0662.17011)
Kirillov, A. N.; Reshetikhin, N. Yu. The Bethe Ansatz and the combinatorics of Young tableaux. (English) Zbl 0639.20029 J. Sov. Math. 41, No. 2, 925-955 (1988). MSC: 20G45 05E15 22E70 20C30 05E05 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, J. Sov. Math. 41, No. 2, 925--955 (1988; Zbl 0639.20029) Full Text: DOI
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. Combinatorics, Bethe Ansatz, and representations of the symmetric group. (English) Zbl 0639.20028 J. Sov. Math. 41, No. 2, 916-924 (1988). MSC: 20G45 22E70 05A17 20C30 05A05 PDF BibTeX XML Cite \textit{S. V. Kerov} et al., J. Sov. Math. 41, No. 2, 916--924 (1988; Zbl 0639.20028) Full Text: DOI
Kirillov, A. N.; Reshetikhin, N. Yu. Bethe Ansatz and combinatorics of the Young tableaux. (Russian. English summary) Zbl 0617.20025 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 65-115 (1986). Reviewer: A.Bogush MSC: 20G45 37K15 81R12 05E15 05E05 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 65--115 (1986; Zbl 0617.20025) Full Text: EuDML
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. Combinatorics, Bethe Ansatz, and representations of the symmetric group. (Russian. English summary) Zbl 0617.20024 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 50-64 (1986). Reviewer: A.Bogush MSC: 20G45 22E70 05A17 20C30 05A05 PDF BibTeX XML Cite \textit{S. V. Kerov} et al., Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 50--64 (1986; Zbl 0617.20024) Full Text: EuDML